XGitUrl: http://git.megacz.com/?p=coqhetmet.git;a=blobdiff_plain;f=build%2FCoqPass.hs;h=c2c5640d0c908dba19a6cb14cdb5720e567589cc;hp=f5fecae4c89a152ef5b495a40a6fec47705bc35d;hb=ada4d4ef74dbd3ca46b4f80eec68e10b903d75f4;hpb=88b7f0bfe8a73d221ea3d74a866c4be39ba7ffd8
diff git a/build/CoqPass.hs b/build/CoqPass.hs
index f5fecae..c2c5640 100644
 a/build/CoqPass.hs
+++ b/build/CoqPass.hs
@@ 884,6 +884,7 @@ data ND judgment rule =
 Nd_id1 judgment
 Nd_weak1 judgment
 Nd_copy (Tree (Prelude.Maybe judgment))
+  Nd_exch (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment))
 Nd_prod (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (ND judgment rule) (ND judgment rule)
 Nd_comp (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (ND judgment rule) (ND judgment rule)
 Nd_cancell (Tree (Prelude.Maybe judgment))
@@ 894,22 +895,23 @@ data ND judgment rule =
 Nd_cossa (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment))
 Nd_rule (Tree (Prelude.Maybe judgment)) (Tree (Prelude.Maybe judgment)) rule
nD_rect :: a3 > (a1 > a3) > (a1 > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3 > (ND a1 a2) > a3 > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3 > (ND a1 a2) > a3 > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a2 > a3) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3
nD_rect f f0 f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 hypotheses conclusions n =
+nD_rect :: a3 > (a1 > a3) > (a1 > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3 > (ND a1 a2) > a3 > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3 > (ND a1 a2) > a3 > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a3) > ((Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > a2 > a3) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > a3
+nD_rect f f0 f1 f2 f3 f4 f5 f6 f7 f8 f9 f10 f11 f12 hypotheses conclusions n =
(trace "X" (case (trace "X" (n)) of {
Nd_id0 > (trace "X" (f));
Nd_id1 h > (trace "X" ((trace "X" (f0 (trace "X" (h))))));
Nd_weak1 h > (trace "X" ((trace "X" (f1 (trace "X" (h))))));
Nd_copy h > (trace "X" ((trace "X" (f2 (trace "X" (h))))));
 Nd_prod h1 h2 c1 c2 pf1 pf2 > (trace "X" ((trace "X" (f3 (trace "X" (h1)) (trace "X" (h2)) (trace "X" (c1)) (trace "X" (c2)) (trace "X" (pf1)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (h1)) (trace "X" (c1)) (trace "X" (pf1))))))) (trace "X" (pf2)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (h2)) (trace "X" (c2)) (trace "X" (pf2)))))))))));
 Nd_comp h x c pf1 pf2 > (trace "X" ((trace "X" (f4 (trace "X" (h)) (trace "X" (x)) (trace "X" (c)) (trace "X" (pf1)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (h)) (trace "X" (x)) (trace "X" (pf1))))))) (trace "X" (pf2)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (x)) (trace "X" (c)) (trace "X" (pf2)))))))))));
 Nd_cancell a > (trace "X" ((trace "X" (f5 (trace "X" (a))))));
 Nd_cancelr a > (trace "X" ((trace "X" (f6 (trace "X" (a))))));
 Nd_llecnac a > (trace "X" ((trace "X" (f7 (trace "X" (a))))));
 Nd_rlecnac a > (trace "X" ((trace "X" (f8 (trace "X" (a))))));
 Nd_assoc a b c > (trace "X" ((trace "X" (f9 (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))));
 Nd_cossa a b c > (trace "X" ((trace "X" (f10 (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))));
 Nd_rule h c r > (trace "X" ((trace "X" (f11 (trace "X" (h)) (trace "X" (c)) (trace "X" (r))))))}))
+ Nd_exch x y > (trace "X" ((trace "X" (f3 (trace "X" (x)) (trace "X" (y))))));
+ Nd_prod h1 h2 c1 c2 pf1 pf2 > (trace "X" ((trace "X" (f4 (trace "X" (h1)) (trace "X" (h2)) (trace "X" (c1)) (trace "X" (c2)) (trace "X" (pf1)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (f12)) (trace "X" (h1)) (trace "X" (c1)) (trace "X" (pf1))))))) (trace "X" (pf2)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (f12)) (trace "X" (h2)) (trace "X" (c2)) (trace "X" (pf2)))))))))));
+ Nd_comp h x c pf1 pf2 > (trace "X" ((trace "X" (f5 (trace "X" (h)) (trace "X" (x)) (trace "X" (c)) (trace "X" (pf1)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (f12)) (trace "X" (h)) (trace "X" (x)) (trace "X" (pf1))))))) (trace "X" (pf2)) (trace "X" ((trace "X" ((nD_rect (trace "X" (f)) (trace "X" (f0)) (trace "X" (f1)) (trace "X" (f2)) (trace "X" (f3)) (trace "X" (f4)) (trace "X" (f5)) (trace "X" (f6)) (trace "X" (f7)) (trace "X" (f8)) (trace "X" (f9)) (trace "X" (f10)) (trace "X" (f11)) (trace "X" (f12)) (trace "X" (x)) (trace "X" (c)) (trace "X" (pf2)))))))))));
+ Nd_cancell a > (trace "X" ((trace "X" (f6 (trace "X" (a))))));
+ Nd_cancelr a > (trace "X" ((trace "X" (f7 (trace "X" (a))))));
+ Nd_llecnac a > (trace "X" ((trace "X" (f8 (trace "X" (a))))));
+ Nd_rlecnac a > (trace "X" ((trace "X" (f9 (trace "X" (a))))));
+ Nd_assoc a b c > (trace "X" ((trace "X" (f10 (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))));
+ Nd_cossa a b c > (trace "X" ((trace "X" (f11 (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))));
+ Nd_rule h c r > (trace "X" ((trace "X" (f12 (trace "X" (h)) (trace "X" (c)) (trace "X" (r))))))}))
nd_id :: (Tree (Prelude.Maybe a1)) > ND a1 a2
nd_id sl =
@@ 936,7 +938,11 @@ data SIND judgment rule =
mkSIND :: (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (ND a1 a2) > (SIND a1 a2) > SIND a1 a2
mkSIND h x c nd =
 (trace "X" ((trace "X" (nD_rect (trace "X" ((\k > (trace "X" (k))))) (trace "X" ((\h0 k > (trace "X" (k))))) (trace "X" ((\h0 k > (trace "X" (Scnd_weak (trace "X" (h))))))) (trace "X" ((\h0 k > (trace "X" (Scnd_branch (trace "X" (h)) (trace "X" (h0)) (trace "X" (h0)) (trace "X" (k)) (trace "X" (k))))))) (trace "X" ((\h1 h2 c1 c2 nd1 iHnd1 nd2 iHnd2 k >
+ (trace "X" ((trace "X" (nD_rect (trace "X" ((\k > (trace "X" (k))))) (trace "X" ((\h0 k > (trace "X" (k))))) (trace "X" ((\h0 k > (trace "X" (Scnd_weak (trace "X" (h))))))) (trace "X" ((\h0 k > (trace "X" (Scnd_branch (trace "X" (h)) (trace "X" (h0)) (trace "X" (h0)) (trace "X" (k)) (trace "X" (k))))))) (trace "X" ((\x0 y k >
+ (trace "X" (case (trace "X" (k)) of {
+ Scnd_weak c0 > (trace "X" (false_rect));
+ Scnd_comp ht ct c0 x1 x2 > (trace "X" ((trace "X" (eq_rect (trace "X" (h)) (trace "X" ((\_ > (trace "X" (false_rect))))) (trace "X" (ht)) (trace "X" (__)) (trace "X" (x1)) (trace "X" (x2))))));
+ Scnd_branch ht c1 c2 x1 x2 > (trace "X" ((trace "X" (eq_rect (trace "X" (h)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" (x0)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" (y)) (trace "X" ((\x3 x4 > (trace "X" (Scnd_branch (trace "X" (h)) (trace "X" (y)) (trace "X" (x0)) (trace "X" (x4)) (trace "X" (x3))))))) (trace "X" (c2))))))))) (trace "X" (c1)) (trace "X" (__))))))))) (trace "X" (ht)) (trace "X" (__)) (trace "X" (x1)) (trace "X" (x2))))))}))))) (trace "X" ((\h1 h2 c1 c2 nd1 iHnd1 nd2 iHnd2 k >
(trace "X" (case (trace "X" (k)) of {
Scnd_weak c0 > (trace "X" (false_rect));
Scnd_comp ht ct c0 x0 x1 > (trace "X" ((trace "X" (eq_rect (trace "X" (h)) (trace "X" ((\_ > (trace "X" (false_rect))))) (trace "X" (ht)) (trace "X" (__)) (trace "X" (x0)) (trace "X" (x1))))));
@@ 985,6 +991,7 @@ nd_map' f r h c pf =
Nd_id1 h0 > (trace "X" (Nd_id1 (trace "X" ((trace "X" ((f (trace "X" (h0)))))))));
Nd_weak1 h0 > (trace "X" ((trace "X" (nd_weak (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (h0)))))))))))))))));
Nd_copy h0 > (trace "X" (Nd_copy (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (h0)))))))));
+ Nd_exch x y > (trace "X" (Nd_exch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (x))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (y)))))))));
Nd_prod h1 h2 c1 c2 lpf rpf > (trace "X" (Nd_prod (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (h1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (h2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (c1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (c2))))))) (trace "X" ((trace "X" ((nd_map' (trace "X" (f)) (trace "X" (r)) (trace "X" (h1)) (trace "X" (c1)) (trace "X" (lpf))))))) (trace "X" ((trace "X" ((nd_map' (trace "X" (f)) (trace "X" (r)) (trace "X" (h2)) (trace "X" (c2)) (trace "X" (rpf)))))))));
Nd_comp h0 x c0 top bot > (trace "X" (Nd_comp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (h0))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (x))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (c0))))))) (trace "X" ((trace "X" ((nd_map' (trace "X" (f)) (trace "X" (r)) (trace "X" (h0)) (trace "X" (x)) (trace "X" (top))))))) (trace "X" ((trace "X" ((nd_map' (trace "X" (f)) (trace "X" (r)) (trace "X" (x)) (trace "X" (c0)) (trace "X" (bot)))))))));
Nd_cancell a > (trace "X" (Nd_cancell (trace "X" ((trace "X" ((mapOptionTree (trace "X" (f)) (trace "X" (a)))))))));
@@ 2215,8 +2222,9 @@ data Rule =
 RLam TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) HaskType HaskType HaskLevel
 RCast TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) HaskType HaskType HaskLevel
 RJoin TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType))
  RApp TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) HaskType (() > (InstantiatedTypeEnv ()) > RawHaskType ()) HaskLevel
+  RApp TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) (() > (InstantiatedTypeEnv ()) > RawHaskType ()) (() > (InstantiatedTypeEnv ()) > RawHaskType ()) HaskLevel
 RLet TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) HaskType HaskType HaskLevel
+  RWhere TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) HaskType HaskType HaskLevel
 RVoid TypeEnv CoercionEnv
 RAppT TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskType HaskLevel
 RAbsT (([]) Kind) CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskLevel
@@ 2843,6 +2851,10 @@ pivotContext :: (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree
pivotContext a b c =
(trace "X" (RComp (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (c)))))))) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b)))))))) (trace "X" ((RCossa (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))) (trace "X" ((RLeft (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b))))) (trace "X" (a)) (trace "X" ((RExch (trace "X" (c)) (trace "X" (b))))))))))) (trace "X" ((RAssoc (trace "X" (a)) (trace "X" (c)) (trace "X" (b)))))))
+pivotContext' :: (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > Arrange a1
+pivotContext' a b c =
+ (trace "X" (RComp (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (c)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (a))))) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c)))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (c)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (a))))) (trace "X" (c))))) (trace "X" ((RAssoc (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))) (trace "X" ((RRight (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (a))))) (trace "X" (c)) (trace "X" ((RExch (trace "X" (b)) (trace "X" (a))))))))))) (trace "X" ((RCossa (trace "X" (b)) (trace "X" (a)) (trace "X" (c)))))))
+
copyAndPivotContext :: (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > (Tree (Prelude.Maybe a1)) > Arrange a1
copyAndPivotContext a b c =
(trace "X" (RComp (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (b)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b))))) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (b)))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" (c)) (trace "X" (b)))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c))))) (trace "X" (b))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b))))) (trace "X" (b))))) (trace "X" ((RAssoc (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c)) (trace "X" (b))))) (trace "X" ((RRight (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (c))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b))))) (trace "X" (b)) (trace "X" ((trace "X" ((pivotContext (trace "X" (a)) (trace "X" (b)) (trace "X" (c))))))))))))) (trace "X" ((RCossa (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" (b)) (trace "X" (b)))))))) (trace "X" ((RLeft (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (b))))) (trace "X" (b)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (c))))) (trace "X" ((RCont (trace "X" (b))))))))))
@@ 2875,9 +2887,9 @@ expr2antecedent eqd_vv =
expr2antecedent0 __U0393_' __U0394_' __U03be_' __U03c4_' exp =
(trace "X" (case (trace "X" (exp)) of {
EVar __U0393_0 __U0394_0 __U03be_0 ev > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" (ev)))))));
 EApp __U0393_0 __U0394_0 __U03be_0 t1 t2 lev e1 e2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1)))))))));
+ EApp __U0393_0 __U0394_0 __U03be_0 t1 t2 lev e1 e2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2)))))))));
ELam __U0393_0 __U0394_0 __U03be_0 t1 t2 lev v e > (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e)))))))))));
 ELet __U0393_0 __U0394_0 __U03be_0 tv t lev v ev ebody > (trace "X" (T_Branch (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (lev))))) (trace "X" (ebody)))))))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (lev))))) (trace "X" (ev)))))))));
+ ELet __U0393_0 __U0394_0 __U03be_0 tv t lev v ev ebody > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (lev))))) (trace "X" (ev))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (lev))))) (trace "X" (ebody))))))))))))));
EEsc __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" (e))))));
EBrak __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" (e))))));
ECast __U0393_0 __U0394_0 __U03be_0 __U03b3_ t1 lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03b3_)) (trace "X" (lev))))) (trace "X" (e))))));
@@ 2896,7 +2908,7 @@ expr2antecedent eqd_vv =
Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
T_Branch b1 b2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((varsfromalts (trace "X" (b1))))))) (trace "X" ((trace "X" ((varsfromalts (trace "X" (b2)))))))))}))}
in varsfromalts (trace "X" (alts))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (atypes))))))))) (trace "X" (l))))) (trace "X" (e')))))))));
 ELetRec __U0393_0 __U0394_0 __U03be_0 l __U03c4_ vars x x0 > (trace "X" (let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((leaves (trace "X" (vars)))))))))))} in (trace "X" (let {branch_context = (trace "X" ((trace "X" (eLetRecContext0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" (l)) (trace "X" (vars)) (trace "X" (x))))))} in (trace "X" (let {all_contexts = (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (l))))) (trace "X" (x0))))))) (trace "X" (branch_context))))} in (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (vars)))))))))))) (trace "X" (all_contexts))))))))))));
+ ELetRec __U0393_0 __U0394_0 __U03be_0 l __U03c4_ vars x x0 > (trace "X" (let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((leaves (trace "X" (vars)))))))))))} in (trace "X" (let {branch_context = (trace "X" ((trace "X" (eLetRecContext0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" (l)) (trace "X" (vars)) (trace "X" (x))))))} in (trace "X" (let {all_contexts = (trace "X" (T_Branch (trace "X" (branch_context)) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (l))))) (trace "X" (x0)))))))))} in (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (vars)))))))))))) (trace "X" (all_contexts))))))))))));
_ > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
eLetRecContext0 __U0393_0 __U0394_0 __U03be_0 lev tree elrb =
(trace "X" (case (trace "X" (elrb)) of {
@@ 2913,9 +2925,9 @@ eLetRecContext eqd_vv =
EGlobal __U0393_0 __U0394_0 __U03be_0 g v lev > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))));
EVar __U0393_0 __U0394_0 __U03be_0 ev > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" (ev)))))));
ELit __U0393_0 __U0394_0 __U03be_0 lit lev > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))));
 EApp __U0393_0 __U0394_0 __U03be_0 t1 t2 lev e1 e2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1)))))))));
+ EApp __U0393_0 __U0394_0 __U03be_0 t1 t2 lev e1 e2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2)))))))));
ELam __U0393_0 __U0394_0 __U03be_0 t1 t2 lev v e > (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e)))))))))));
 ELet __U0393_0 __U0394_0 __U03be_0 tv t lev v ev ebody > (trace "X" (T_Branch (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (lev))))) (trace "X" (ebody)))))))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (lev))))) (trace "X" (ev)))))))));
+ ELet __U0393_0 __U0394_0 __U03be_0 tv t lev v ev ebody > (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (lev))))) (trace "X" (ev))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (lev))))) (trace "X" (ebody))))))))))))));
EEsc __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" (e))))));
EBrak __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" (e))))));
ECast __U0393_0 __U0394_0 __U03be_0 __U03b3_ t1 lev e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03b3_)) (trace "X" (lev))))) (trace "X" (e))))));
@@ 2934,7 +2946,7 @@ eLetRecContext eqd_vv =
Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
T_Branch b1 b2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((varsfromalts (trace "X" (b1))))))) (trace "X" ((trace "X" ((varsfromalts (trace "X" (b2)))))))))}))}
in varsfromalts (trace "X" (alts))))))) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (atypes))))))))) (trace "X" (l))))) (trace "X" (e')))))))));
 ELetRec __U0393_0 __U0394_0 __U03be_0 l __U03c4_ vars x x0 > (trace "X" (let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((leaves (trace "X" (vars)))))))))))} in (trace "X" (let {branch_context = (trace "X" ((trace "X" (eLetRecContext0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" (l)) (trace "X" (vars)) (trace "X" (x))))))} in (trace "X" (let {all_contexts = (trace "X" (T_Branch (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (l))))) (trace "X" (x0))))))) (trace "X" (branch_context))))} in (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (vars)))))))))))) (trace "X" (all_contexts))))))))))))}));
+ ELetRec __U0393_0 __U0394_0 __U03be_0 l __U03c4_ vars x x0 > (trace "X" (let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((leaves (trace "X" (vars)))))))))))} in (trace "X" (let {branch_context = (trace "X" ((trace "X" (eLetRecContext0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" (l)) (trace "X" (vars)) (trace "X" (x))))))} in (trace "X" (let {all_contexts = (trace "X" (T_Branch (trace "X" (branch_context)) (trace "X" ((trace "X" ((expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (l))))) (trace "X" (x0)))))))))} in (trace "X" ((trace "X" (stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (vars)))))))))))) (trace "X" (all_contexts))))))))))))}));
eLetRecContext0 __U0393_0 __U0394_0 __U03be_0 lev tree elrb =
(trace "X" (case (trace "X" (elrb)) of {
ELR_nil __U0393_1 __U0394_1 __U03be_1 lev0 > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))));
@@ 2947,8 +2959,310 @@ mkProofCaseBranch eqd_vv __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes alt
(trace "X" (case (trace "X" (alt)) of {
ExistT x s > (trace "X" (ExistT (trace "X" (x)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((scbwv_exprvars (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))))))))))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((sac___U0393_ (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((sac___U0394_ (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" ((trace "X" ((weakCK'' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" ((trace "X" ((scbwv___U03be_ (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))) (trace "X" (__U03be_0)) (trace "X" (l))))))) (trace "X" ((trace "X" ((weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (KindStar)) (trace "X" ((MkLeveledHaskType (trace "X" (tbranches)) (trace "X" (l)))))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (s))))))))))))))))))))))))}))
arrangeContext :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Prelude.Either (Arrange LeveledHaskType) (Arrange LeveledHaskType)
arrangeContext eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
+factorContextLeft :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Prelude.Either (Arrange LeveledHaskType) (Arrange LeveledHaskType)
+factorContextLeft eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
+ (trace "X" ((trace "X" (tree_rect (trace "X" ((\a >
+ (trace "X" (case (trace "X" (a)) of {
+ Prelude.Just v' >
+ (trace "X" (let {s = (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v')) (trace "X" (v))))))} in
+ (trace "X" (case (trace "X" (s)) of {
+ Prelude.True > (trace "X" ((trace "X" (eq_rect_r (trace "X" (v)) (trace "X" ((Prelude.Right (trace "X" ((RuCanR (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))))))))) (trace "X" (v'))))));
+ Prelude.False > (trace "X" (Prelude.Left (trace "X" ((RuCanL (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v'))))))))))))))))))}))));
+ Prelude.Nothing > (trace "X" (Prelude.Left (trace "X" ((RuCanR (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))))))))}))))) (trace "X" ((\ctx1 iHctx1 ctx2 iHctx2 >
+ (trace "X" (case (trace "X" (iHctx1)) of {
+ Prelude.Left lpf >
+ (trace "X" (case (trace "X" (iHctx2)) of {
+ Prelude.Left rpf > (trace "X" (Prelude.Left (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((RRight (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1)))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" (lpf)) (trace "X" ((RCanL
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))))))))) (trace "X" ((RLeft (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" ((RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))) (trace "X" (rpf)) (trace "X" ((RCanL
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))))))))))))))) (trace "X" ((RuCanL (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))))))));
+ Prelude.Right rpf > (trace "X" (Prelude.Right (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RRight (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1)))))))))))) (trace "X" (lpf)) (trace "X" ((RCanL (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))))))))) (trace "X" ((RLeft (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))) (trace "X" (rpf))))))))
+ (trace "X" ((trace "X" ((pivotContext'
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))))))))))}));
+ Prelude.Right lpf >
+ (trace "X" (case (trace "X" (iHctx2)) of {
+ Prelude.Left rpf > (trace "X" (Prelude.Right (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RLeft (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))) (trace "X" (rpf)) (trace "X" ((RCanL (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RRight (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))) (trace "X" (lpf))))) (trace "X" ((RCossa (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))))))));
+ Prelude.Right rpf > (trace "X" (Prelude.Right (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RRight (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" (lpf))))) (trace "X" ((RComp (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2)))))))))))))))))) (trace "X" ((RLeft (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx1))))))))))))))) (trace "X" (rpf)))))
+ (trace "X" ((trace "X" ((arrangeSwapMiddle (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))))))))))) (trace "X" ((RRight (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((T_Branch
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx1))))))))))))
+ (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
+ (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((\v0 >
+ (trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v0)) (trace "X" (v)))))) of {
+ Prelude.True > (trace "X" (Prelude.Nothing));
+ Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))) (trace "X" ((RCont (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))))))))))))))}))}))))) (trace "X" (ctx))))))
+
+factorContextRight :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Prelude.Either (Arrange LeveledHaskType) (Arrange LeveledHaskType)
+factorContextRight eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
(trace "X" ((trace "X" (tree_rect (trace "X" ((\a >
(trace "X" (case (trace "X" (a)) of {
Prelude.Just v' >
@@ 3094,18 +3408,34 @@ arrangeContext eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
Prelude.True > (trace "X" (Prelude.Nothing));
Prelude.False > (trace "X" (Prelude.Just (trace "X" (v0))))}))))) (trace "X" (ctx2))))))))))))))))))))))}))}))))) (trace "X" (ctx))))))
arrangeContextAndWeaken :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Arrange LeveledHaskType
arrangeContextAndWeaken eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
 (trace "X" (let {q = (trace "X" ((trace "X" (arrangeContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" (ctx)) (trace "X" (__U03be_0))))))} in
+factorContextLeftAndWeaken :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Arrange LeveledHaskType
+factorContextLeftAndWeaken eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
+ (trace "X" (let {q = (trace "X" ((trace "X" (factorContextLeft (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" (ctx)) (trace "X" (__U03be_0))))))} in
+ (trace "X" (case (trace "X" (q)) of {
+ Prelude.Left a > (trace "X" (RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx))))))))))))))) (trace "X" (a)) (trace "X" ((RRight (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))
+ (trace "X" ((trace "X" ((let {
+ mapOptionTree0 f t =
+ (trace "X" (case (trace "X" (t)) of {
+ T_Leaf o >
+ (trace "X" (case (trace "X" (o)) of {
+ Prelude.Just x > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+ Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+ T_Branch l r > (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+ in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx)))))))))))) (trace "X" ((RWeak (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))))))));
+ Prelude.Right a > (trace "X" (a))}))))
+
+factorContextRightAndWeaken :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Arrange LeveledHaskType
+factorContextRightAndWeaken eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
+ (trace "X" (let {q = (trace "X" ((trace "X" (factorContextRight (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" (ctx)) (trace "X" (__U03be_0))))))} in
(trace "X" (case (trace "X" (q)) of {
Prelude.Left a > (trace "X" (RComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx)))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))))))))))) (trace "X" (a)) (trace "X" ((RLeft (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx)))))))))))) (trace "X" ((RWeak (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))))))));
Prelude.Right a > (trace "X" (a))}))))
arrangeContextAndWeaken'' :: (EqDecidable a1) > TypeEnv > CoercionEnv > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > (Tree (Prelude.Maybe a1)) > Arrange LeveledHaskType
arrangeContextAndWeaken'' eqd_vv __U0393_0 __U0394_0 v __U03be_0 ctx =
+factorContextRightAndWeaken'' :: (EqDecidable a1) > TypeEnv > CoercionEnv > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > (Tree (Prelude.Maybe a1)) > Arrange LeveledHaskType
+factorContextRightAndWeaken'' eqd_vv __U0393_0 __U0394_0 v __U03be_0 ctx =
(trace "X" ((trace "X" (tree_rect (trace "X" ((\a ctx0 _ >
(trace "X" (case (trace "X" (a)) of {
 Prelude.Just v0 > (trace "X" ((trace "X" (arrangeContextAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v0)) (trace "X" (ctx0)) (trace "X" (__U03be_0))))));
+ Prelude.Just v0 > (trace "X" ((trace "X" (factorContextRightAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v0)) (trace "X" (ctx0)) (trace "X" (__U03be_0))))));
Prelude.Nothing >
(trace "X" ((trace "X" (eq_rect_r (trace "X" (ctx0)) (trace "X" ((RuCanR
(trace "X" ((trace "X" ((let {
@@ 3136,7 +3466,7 @@ letRecSubproofsToND eqd_vv __U0393_0 __U0394_0 __U03be_0 lev tree branches x =
letRecSubproofsToND' :: (EqDecidable a1) > TypeEnv > CoercionEnv > (a1 > LeveledHaskType) > HaskLevel > HaskType > (Tree (Prelude.Maybe ((,) a1 HaskType))) > (ELetRecBindings a1) > (Expr a1) > (ND Judg Rule) > (LetRecSubproofs a1) > ND Judg Rule
letRecSubproofsToND' eqd_vv __U0393_0 __U0394_0 __U03be_0 lev __U03c4_ tree branches body pf lrsp =
 (trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))} in (trace "X" (let {pctx = (trace "X" ((trace "X" (mapOptionTree (trace "X" (fst)) (trace "X" (tree))))))} in (trace "X" (let {z = (trace "X" (\a b x > (trace "X" (RLetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" (b)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree))))))) (trace "X" (x))))))} in (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev))))) (trace "X" ((ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (tree)) (trace "X" (branches)) (trace "X" (body))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (lev))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (lev))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_)))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree)))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev))))) (trace "X" ((ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (tree)) (trace "X" (branches)) (trace "X" (body))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((let {q' = (trace "X" (\_ > (trace "X" ((trace "X" (arrangeContextAndWeaken'' (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (pctx)) (trace "X" (__U03be_')) (trace "X" ((T_Branch (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_')) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev))))) (trace "X" (body))))))) (trace "X" ((trace "X" ((eLetRecContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_')) (trace "X" (lev)) (trace "X" (tree)) (trace "X" (branches))))))))))))))))} in (trace "X" (let {q'' = (trace "X" ((trace "X" (q' (trace "X" (__))))))} in (trace "X" (let {q''0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (tree)))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev))))) (trace "X" (body))))))) (trace "X" ((trace "X" ((eLetRecContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" (lev)) (trace "X" (tree)) (trace "X" (branches)))))))))))))))))))) (trace "X" (q'')) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (tree)))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (__U03c4_)) (trace "X" (lev))))) (trace "X" (body))))))) (trace "X" ((trace "X" ((eLetRecContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" (lev)) (trace "X" (tree)) (trace "X" (branches))))))))))))))))))))))))} in (trace "X" (let {q''1 = (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (tree)))))))))))) (trace "X" (q''0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree))))))) (trace "X" ((trace "X" ((fst (trace "X" (x)))))))))))))) (trace "X" (tree)))))))))))} in (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree))))))) (trace "X" ((trace "X" ((fst (trace "X" (x)))))))))))))) (trace "X" (tree))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) 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expr2proof :: (EqDecidable a1) > TypeEnv > CoercionEnv > (a1 > LeveledHaskType) > LeveledHaskType > (Expr a1) > ND Judg Rule
expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
@@ 3145,7 +3475,7 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
EVar __U0393_0 __U0394_0 __U03be_0 ev > (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (ev))))))) (trace "X" ((EVar (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ev))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (ev)))))))))))))))))))))) (trace "X" ((let {l = (trace "X" ((trace "X" (__U03be_0 (trace "X" (ev))))))} in (trace "X" (case (trace "X" (l)) of {
MkLeveledHaskType h h0 > (trace "X" (RVar (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (h)) (trace "X" (h0))))})))))));
ELit __U0393_0 __U0394_0 __U03be_0 lit lev > (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (literalType (trace "X" (lit)) (trace "X" (__U0393_0))))))))) (trace "X" (lev))))) (trace "X" ((ELit (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lit)) (trace "X" (lev))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (literalType (trace "X" (lit)) (trace "X" (__U0393_0))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((RLit (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lit)) (trace "X" (lev)))))));
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(trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1))))))))))))))) (trace 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((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((RApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))) (trace "X" (e1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e2)))))))))))) (trace "X" (t2)) (trace "X" (t1)) (trace "X" (lev))))))))));
ELam __U0393_0 __U0394_0 __U03be_0 t1 t2 lev v e > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([]))))))
@@ 3160,7 +3490,7 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))));
Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((t1 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((t2 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev))))))))))))))))))))
(trace "X" ((let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))} in
 (trace "X" (let {pfx = (trace "X" ((trace "X" (arrangeContextAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e))))))) (trace "X" (__U03be_'0))))))} in
+ (trace "X" (let {pfx = (trace "X" ((trace "X" (factorContextRightAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e))))))) (trace "X" (__U03be_'0))))))} in
(trace "X" (let {pfx0 = (trace "X" (RArrange (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_'0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_'0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" (v)) (trace "X" (t1))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (v)))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))))))))) (trace "X" (pfx))))} in
(trace "X" (let {
pfx1 = (trace "X" ((trace "X" (eq_rect
@@ 3243,31 +3573,31 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (v)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))));
Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t2)) (trace "X" (lev))))) (trace "X" (e))))))))))))))))) (trace "X" (t1)) (trace "X" (t2)) (trace "X" (lev))))))))));
 ELet __U0393_0 __U0394_0 __U03be_0 tv t v lev ev ebody > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ ELet __U0393_0 __U0394_0 __U03be_0 tv t v lev ev ebody > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((Nd_llecnac (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((Nd_prod (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((Nd_rlecnac (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((Nd_prod (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0))
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
@@ 3275,16 +3605,16 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (v)) (trace "X" (((:) (trace "X" (((,) (trace "X" (lev)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (v)) (trace "X" (((:) (trace "X" (((,) (trace "X" (lev)) (trace "X" (tv))))) (trace "X" (([]))))))))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))
(trace "X" ((let {__U03be_'0 = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (v)) (trace "X" (((:) (trace "X" (((,) (trace "X" (lev)) (trace "X" (tv))))) (trace "X" (([]))))))))))} in
(trace "X" (let {
 n = (trace "X" ((trace "X" (arrangeContextAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev))
+ n = (trace "X" ((trace "X" (factorContextLeftAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
@@ 3317,13 +3647,13 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))) (trace "X" (n0))))}
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))) (trace "X" (n0))))}
in
(trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\v' >
@@ 3333,32 +3663,32 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" (n1))))));
 Prelude.False > (trace "X" (Prelude.error "absurd case"))})))))))))))))))))))) (trace "X" ((Nd_rule (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" (n1))))));
+ Prelude.False > (trace "X" (Prelude.error "absurd case"))})))))))))))))))))))) (trace "X" ((Nd_rule (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((RLet (trace "X" (__U0393_0)) (trace "X" (__U0394_0))
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v)))))))))))))))))))) (trace "X" ((RLet (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev))))))))))))
(trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0))
(trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (lev)) (trace "X" (([]))))))
(trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\v' >
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (eqd_vv)) (trace "X" (lev)) (trace "X" (v')))))) of {
Prelude.True > (trace "X" (MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))));
 Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (tv)) (trace "X" (v))))) (trace "X" (ev)))))))))))) (trace "X" (t)) (trace "X" (tv)) (trace "X" (v))))))))));
+ Prelude.False > (trace "X" ((trace "X" (__U03be_0 (trace "X" (v'))))))}))))) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (v))))) (trace "X" (ebody))))))))))))))))) (trace "X" (tv)) (trace "X" (t)) (trace "X" (v))))))))));
EEsc __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" ((EEsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" ((EEsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" (e))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" ((EEsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" ((EEsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((REsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (t)) (trace "X" (ec)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" ((EEsc (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" (lev))))))))));
EBrak __U0393_0 __U0394_0 __U03be_0 ec t lev e > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))) (trace "X" (e))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((RBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (t)) (trace "X" (ec)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (t))))))))) (trace "X" (lev))))) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" (lev))))))))));
ECast __U0393_0 __U0394_0 __U03be_0 __U03b3_ t1 lev e > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))))) (trace "X" ((ECast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03b3_)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))))) (trace "X" ((ECast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (__U03b3_)) (trace "X" (lev))))) (trace "X" (e))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))))) (trace "X" ((ECast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03b3_)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))))) (trace "X" ((ECast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((RCast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((MkLeveledHaskType (trace "X" (t1)) (trace "X" (lev))))) (trace "X" ((ECast (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev)) (trace "X" (e))))))))))))))) (trace "X" (__U03b3_)) (trace "X" (t1)) (trace "X" (lev))))))))));
@@ 3378,7 +3708,7 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' exp =
Prelude.Just x >
(trace "X" (case (trace "X" (x)) of {
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Prelude.Nothing > (trace "X" (Nd_id0))}));
T_Branch b1 b2 > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" ((trace "X" ((projT1 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x)))))))))))) (trace "X" ((trace "X" ((projT2 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x))))))))))))))))))) (trace "X" (b1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" ((trace "X" ((projT1 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x)))))))))))) (trace "X" ((trace "X" ((projT2 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x))))))))))))))))))) (trace "X" (b2)))))))))) (trace "X" ((Nd_llecnac (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((Nd_prod (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" ((trace "X" ((projT1 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x)))))))))))) (trace "X" ((trace "X" ((projT2 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x))))))))))))))))))) (trace "X" (b1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" ((trace "X" ((projT1 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x)))))))))))) (trace "X" ((trace "X" ((projT2 (trace "X" ((trace "X" ((mkProofCaseBranch (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (x))))))))))))))))))) (trace "X" (b2))))))) (trace "X" ((trace "X" ((mkdcsp (trace "X" (b1))))))) (trace "X" ((trace "X" ((mkdcsp (trace "X" (b2))))))))))))}))}
in mkdcsp (trace "X" (alts'))))))}
@@ 3509,6 +3839,7 @@ nd_ruleToRawLatexMath h c r =
RJoin __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03c4___U2081_ __U03c4___U2082_ > (trace "X" ((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('J')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" ([]))))))))))))))));
RApp __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ tx te l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" ([]))))))))));
RLet __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03c3___U2081_ __U03c3___U2082_ l > (trace "X" ((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" ([]))))))))));
+ RWhere __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03a3___U2083_ __U03c3___U2081_ __U03c3___U2082_ l > (trace "X" ((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))));
RVoid __U0393_0 __U0394_0 > (trace "X" ((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('V')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('d')) (trace "X" ([]))))))))))))))));
RAppT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c4_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('T')) (trace "X" ([])))))))))))));
RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('T')) (trace "X" ([])))))))))))));
@@ 3922,41 +4253,61 @@ rule2expr eqdec_vv freshM h j r x_ =
ILeaf i x > (trace "X" ((trace "X" (false_rect (trace "X" (x))))));
IBranch it1 it2 x x0 >
(trace "X" (let {
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 (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p)))))))))))))))))))) (trace "X" ((\x1 x2 >
+ h0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p)))))))))))))))))))) (trace "X" ((\_ >
+ (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\x1 x2 >
(trace "X" (case (trace "X" (x1)) of {
INone > (trace "X" (false_rect));
ILeaf i x3 >
 (trace "X" ((trace "X" (eq_rect (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (p)))))))))))))) (trace "X" ((\x4 >
+ (trace "X" ((trace "X" (eq_rect (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p)))))))))))))) (trace "X" ((\x4 >
(trace "X" (case (trace "X" (x2)) of {
INone > (trace "X" (false_rect));
ILeaf i0 x5 >
 (trace "X" ((trace "X" (eq_rect (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p)))))))))))))) (trace "X" ((\x6 __U03be_0 vars _ >
+ (trace "X" ((trace "X" (eq_rect (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (p)))))))))))))) (trace "X" ((\x6 __U03be_0 vars _ >
(trace "X" (case (trace "X" (vars)) of {
T_Leaf o > (trace "X" (false_rect));
 T_Branch vars1 vars2 > (trace "X" (let {q1 = (trace "X" ((trace "X" (x4 (trace "X" (__U03be_0)) (trace "X" (vars1)) (trace "X" (__))))))} in (trace "X" (let {q2 = (trace "X" ((trace "X" (x6 (trace "X" (__U03be_0)) (trace "X" (vars2)) (trace "X" (__))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (q1)) (trace "X" ((\q1' > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (q2)) (trace "X" ((\q2' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (te)) (trace "X" (p))))) (trace "X" ((let {q1'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (p))))) (trace "X" (q1'))))))} in (trace "X" (let {q2'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p))))) (trace "X" (q2'))))))} in (trace "X" (EApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (te)) (trace "X" (tx)) (trace "X" (p)) (trace "X" (q2'0)) (trace "X" (q1'0))))))))))))))))))))))))))))))))))}))))) (trace "X" (i0)) (trace "X" (x5))))));
+ T_Branch vars1 vars2 > (trace "X" (let {q1 = (trace "X" ((trace "X" (x4 (trace "X" (__U03be_0)) (trace "X" (vars1)) (trace "X" (__))))))} in (trace "X" (let {q2 = (trace "X" ((trace "X" (x6 (trace "X" (__U03be_0)) (trace "X" (vars2)) (trace "X" (__))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (q1)) (trace "X" ((\q1' > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (q2)) (trace "X" ((\q2' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (te)) (trace "X" (p))))) (trace "X" ((let {q1'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (p))))) (trace "X" (q1'))))))} in (trace "X" (let {q2'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (p))))) (trace "X" (q2'))))))} in (trace "X" (EApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (te)) (trace "X" (tx)) (trace "X" (p)) (trace "X" (q1'0)) (trace "X" (q2'0))))))))))))))))))))))))))))))))))}))))) (trace "X" (i0)) (trace "X" (x5))))));
IBranch it0 it3 x5 x6 > (trace "X" ((trace "X" (false_rect (trace "X" (x5)) (trace "X" (x6))))))}))))) (trace "X" (i)) (trace "X" (x3))))));
IBranch it0 it3 x3 x4 > (trace "X" ((trace "X" (false_rect (trace "X" (x3)) (trace "X" (x4))))))}))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__))))))}
in
(trace "X" ((trace "X" (unsafeCoerce (trace "X" (h0)) (trace "X" (x)) (trace "X" (x0))))))))})))));
 RLet __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03c3___U2081_ __U03c3___U2082_ p > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))))))))))
+ RLet __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03c3___U2081_ __U03c3___U2082_ p > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))))))))))))
(trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ >
(trace "X" (case (trace "X" (vars)) of {
T_Leaf o > (trace "X" (false_rect));
T_Branch vars1 vars2 >
 (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (vars1)) (trace "X" (__U03a3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (p))))))) (trace "X" ((\pf >
 (trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (p)) (trace "X" (((:) (trace "X" (((,) (trace "X" (pf)) (trace "X" (__U03c3___U2082_))))) (trace "X" (([]))))))))))} in
+ (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (vars2)) (trace "X" (__U03a3___U2082_)) (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))) (trace "X" ((\pf >
+ (trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (p)) (trace "X" (((:) (trace "X" (((,) (trace "X" (pf)) (trace "X" (__U03c3___U2081_))))) (trace "X" (([]))))))))))} in
(trace "X" (case (trace "X" (x_)) of {
INone > (trace "X" (false_rect));
ILeaf i x > (trace "X" ((trace "X" (false_rect (trace "X" (x))))));
 IBranch it1 it2 x x0 > (trace "X" (let {h0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\x1 x2 > (trace "X" (let {x3 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))) (trace "X" (x1))))))} in (trace "X" (let {x4 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))) (trace "X" (x2))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x3 (trace "X" (__U03be_0)) (trace "X" (vars2)) (trace "X" (__))))))) (trace "X" ((\x0' > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x4 (trace "X" (__U03be_')) (trace "X" ((T_Branch (trace "X" (vars1)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (pf))))))))))) (trace "X" (__))))))) (trace "X" ((\x1' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))) (trace "X" ((let {x0'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))) (trace "X" (x0'))))))} in (trace "X" (let {x1'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))) (trace "X" (x1'))))))} in (trace "X" (ELet (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03c3___U2082_)) (trace "X" (__U03c3___U2081_)) (trace "X" (p)) (trace "X" (pf)) (trace "X" (x0'0)) (trace "X" (x1'0))))))))))))))))))))))))))))))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__))))))} in (trace "X" ((trace "X" (unsafeCoerce (trace "X" (h0)) (trace "X" (x)) (trace "X" (x0))))))))})))))))))))}))))))))));
+ IBranch it1 it2 x x0 > (trace "X" (let {h0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))))))) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\x1 x2 > (trace "X" (let {x3 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))) (trace "X" (x1))))))} in (trace "X" (let {x4 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))))))) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))) (trace "X" (x2))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x3 (trace "X" (__U03be_0)) (trace "X" (vars1)) (trace "X" (__))))))) (trace "X" ((\x0' > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x4 (trace "X" (__U03be_')) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (pf)))))))) (trace "X" (vars2))))) (trace "X" (__))))))) (trace "X" ((\x1' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))) (trace "X" ((let {x1'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))) (trace "X" (x1'))))))} in (trace "X" (let {x0'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))) (trace "X" (x0'))))))} in (trace "X" (ELet (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (p)) (trace "X" (pf)) (trace "X" (x0'0)) (trace "X" (x1'0))))))))))))))))))))))))))))))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__))))))} in (trace "X" ((trace "X" (unsafeCoerce (trace "X" (h0)) (trace "X" (x)) (trace "X" (x0))))))))})))))))))))}))))))))));
+ RWhere __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03a3___U2083_ __U03c3___U2081_ __U03c3___U2082_ p > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2082_)) (trace "X" (__U03a3___U2083_)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))))))))))))
+ (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ >
+ (trace "X" (case (trace "X" (vars)) of {
+ T_Leaf o > (trace "X" (false_rect));
+ T_Branch vars1 vars2 >
+ (trace "X" (case (trace "X" (vars2)) of {
+ T_Leaf o > (trace "X" (false_rect));
+ T_Branch vars2_1 vars2_2 >
+ (trace "X" (let {
+ h0 = (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_2))))))) (trace "X" ((\x_0 _ _ >
+ (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_1))))))) (trace "X" ((\x_1 _ >
+ (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars1))))))) (trace "X" ((\_ x_2 _ >
+ (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" ((T_Branch (trace "X" (vars1)) (trace "X" (vars2_2))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_2)))))))))) (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))) (trace "X" ((\pf >
+ (trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (p)) (trace "X" (((:) (trace "X" (((,) (trace "X" (pf)) (trace "X" (__U03c3___U2081_))))) (trace "X" (([]))))))))))} in
+ (trace "X" (case (trace "X" (x_2)) of {
+ INone > (trace "X" (false_rect));
+ ILeaf i x > (trace "X" ((trace "X" (false_rect (trace "X" (x))))));
+ IBranch it1 it2 x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars1))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_2))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_1))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))))))))) (trace "X" ((\x1 x2 > (trace "X" (let {x3 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars1))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_2))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p)))))))))))))) (trace "X" (x1))))))} in (trace "X" (let {x4 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars2_1))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p)))))))))))))) (trace "X" (x2))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x3 (trace "X" (__U03be_')) (trace "X" ((T_Branch (trace "X" (vars1)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (pf)))))))) (trace "X" (vars2_2)))))))) (trace "X" (__))))))) (trace "X" ((\x0' > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x4 (trace "X" (__U03be_0)) (trace "X" (vars2_1)) (trace "X" (__))))))) (trace "X" ((\x1' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))) (trace "X" ((let {x0'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (p))))) (trace "X" (x0'))))))} in (trace "X" (let {x1'0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2081_)) (trace "X" (p))))) (trace "X" (x1'))))))} in (trace "X" (ELet (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (p)) (trace "X" (pf)) (trace "X" (x1'0)) (trace "X" (x0'0))))))))))))))))))))))))))))))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))})))))))))))))) (trace "X" (__U03a3___U2081_)) (trace "X" (__)) (trace "X" (x_1)) (trace "X" (__))))))))) (trace "X" (__U03a3___U2082_)) (trace "X" (x_0)) (trace "X" (__))))))))) (trace "X" (__U03a3___U2083_))))))}
+ in
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (h0)) (trace "X" (x_)) (trace "X" (__)) (trace "X" (__))))))))}))}))))))))));
RVoid __U0393_0 __U0394_0 > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (INone))))))))))))));
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RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ a > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" ((trace "X" ((weakCE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U0394_0))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar))))))) (trace "X" (__U03a3_))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar (trace "X" (__U0393_0)) (trace "X" (__U03ba_)))))))))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (a))))))))))))))))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (a)))))))))))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (a))))) (trace "X" ((let {x0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar (trace "X" (__U0393_0)) (trace "X" (__U03ba_)))))))))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (a)))))))))) (trace "X" (x))))))} in (trace "X" (ETyLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (a)) (trace "X" (x0)))))))))))))))))))))))))))))));
RAppCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ l > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (l)))))))))))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3_)) (trace "X" (l)))))))))))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3_)) (trace "X" (l))))) (trace "X" ((ECoApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (__U03c3_)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((ileaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (l))))) (trace "X" (x))))))))))))))))))))))))))))))))));
RAbsCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c3___U2081_ __U03c3___U2082_ y > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" ((\_ > (trace "X" ((trace "X" (mkHaskCoercionKind (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (__U03c3___U2081_))))))))) (trace "X" (__U0394_0))))) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (y)))))))))))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (y)))))))))))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (y))))) (trace "X" ((ECoLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2082_)) (trace "X" (__U03c3_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03be_0)) (trace "X" (y)) (trace "X" ((trace "X" ((ileaf (trace "X" ((MkLeveledHaskType (trace "X" (__U03c3___U2082_)) (trace "X" (y))))) (trace "X" (x))))))))))))))))))))))))))))))))));
RLetRec __U0393_0 __U0394_0 lri x y t >
 (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y)))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x)))))))) (trace "X" (y))))))))))))) (trace "X" (x_))))))} in
+ (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y)))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x))))))))))))))))))) (trace "X" (x_))))))} in
(trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (t))))))))))))))
(trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ >
(trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma' (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (y)) (trace "X" (vars)) (trace "X" (lri)) (trace "X" (__U03be_0)) (trace "X" (t))))))) (trace "X" ((\__U03be_vars >
@@ 3965,7 +4316,7 @@ rule2expr eqdec_vv freshM h j r x_ =
(trace "X" ((case (trace "X" (x0)) of {
INone > (trace "X" (false_rect));
ILeaf i x1 > (trace "X" ((trace "X" (false_rect (trace "X" (x1))))));
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+ IBranch it1 it2 x1 x2 > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (t))))))))))) (trace "X" ((\x3 x4 > (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars))))))) (trace "X" ((\_ > (trace "X" (ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" (x)) (trace "X" (__U03be_vars)) (trace "X" ((trace "X" ((letrec_helper (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (t)) (trace "X" (__U03be_vars)) (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((let {x5 = (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y))))))) (trace "X" (x3)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars))))))))))))))))} in (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars)))))))))))) (trace "X" (x5)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x6 > (trace "X" ((trace "X" (update___U03be_ (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars))))))) (trace "X" ((trace "X" ((fst (trace "X" (x6)))))))))))))) (trace "X" (__U03be_vars))))))))))))))))))) (trace "X" ((trace "X" ((ileaf (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (t))))) (trace "X" (x4)))))))))))) (trace "X" (lri)) (trace "X" (__))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__)) (trace "X" (x1)) (trace "X" (x2))))))}))))))))))))))))))))))))))))))))));
RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((\x > (trace "X" ((trace "X" (pcb_freevars (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((projT1 (trace "X" (x))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (x)))))))))))))) (trace "X" (alts))))))) (trace "X" (__U03a3_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tbranches)) (trace "X" (lev))))))))))))))
(trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ >
(trace "X" (case (trace "X" (x_)) of {
@@ 4179,21 +4530,29 @@ skolemize_proof h c x =
(:) h2 h3 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('J')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}))));
RApp __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ tx te lev >
(trace "X" (case (trace "X" (lev)) of {
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+ ([]) > (trace "X" (Nd_rule (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (([]))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (([])))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (te)) (trace "X" (([]))))))))))))))))))))) (trace "X" ((SFlat (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tx (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((te (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (([]))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2082_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (tx)) (trace "X" (([])))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" (__U03a3___U2082_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (te)) (trace "X" (([]))))))))))))))))))))) (trace "X" ((RApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3___U2081_)) (trace "X" (__U03a3___U2082_)) (trace "X" (tx)) (trace "X" (te)) (trace "X" (([])))))))))));
(:) h1 lev0 >
(trace "X" ((trace "X" (eq_rect_r (trace "X" ((\_ > (trace "X" ((trace "X" (drop_arg_types_as_tree (trace "X" (__U0393_0)) (trace "X" (te)))))))))
(trace "X" ((let {hof_tx = (trace "X" ((trace "X" (check_hof (trace "X" (__U0393_0)) (trace "X" (tx))))))} in
(trace "X" (case (trace "X" (hof_tx)) of {
Prelude.True > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('m')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))));
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(:) h1 lev0 >
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RAppT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c4_ lev >
(trace "X" (case (trace "X" (lev)) of {
@@ 4216,7 +4575,7 @@ skolemize_proof h c x =
([]) >
(trace "X" (let {h1 = (trace "X" ((trace "X" (getjlev (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y)))))))))))} in
(trace "X" (case (trace "X" (h1)) of {
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+ ([]) > (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x1)) (trace "X" (([])))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x1)) (trace "X" (([]))))))))))))))))))))) (trace "X" ((SFlat (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y)))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x1)) (trace "X" (([])))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x1)) (trace "X" (([]))))))))))))))))))))) (trace "X" ((RLetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" (x1)) (trace "X" (y)) (trace "X" (([])))))))))));
(:) h2 h3 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}))));
(:) h1 t0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('S')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" (':')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('B')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('F')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('X')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('E')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))}))))) (trace "X" (h)) (trace "X" (c)) (trace "X" (x))))))
@@ 4424,39 +4783,43 @@ ga_comp unitTy prodTy gaTy garrow =
boost :: TypeEnv > CoercionEnv > (Tree (Prelude.Maybe LeveledHaskType)) > HaskType > HaskType > HaskLevel > (ND Judg Rule) > ND Judg Rule
boost __U0393_0 __U0394_0 ant x y lev x0 =
 (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" (ant))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" (ant))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((Nd_rlecnac (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ant)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev))))))))))))))))))))))) (trace "X" ((Nd_prod (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" 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((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" (x0)) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (x)) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (y)) (trace "X" (lev)))))))))))))))))))) (trace "X" ((RArrange (trace "X" (__U0393_0)) (trace "X" 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postcompose' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (ND Judg Rule) > ND Judg Rule
postcompose' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev a b c __U03a3_ x =
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precompose :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskLevel > ND Judg Rule
precompose unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec a x y z lev =
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precompose' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (ND Judg Rule) > ND Judg Rule
precompose' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev a b c __U03a3_ x =
 (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (b)) (trace "X" (c))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (a)) (trace "X" (b))))))))) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (a)) (trace "X" (c))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" (x)) (trace "X" ((trace "X" ((precompose (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ec)) (trace "X" (__U03a3_)) (trace "X" (a)) (trace "X" (b)) (trace "X" (c)) (trace "X" (lev)))))))))
+precompose' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskLevel > ND Judg Rule
+precompose' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec a b x y z lev =
+ (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (y)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev))))))))))) (trace "X" (b)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (y)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((trace "X" ((precompose (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ec)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" (x)) (trace "X" (y)) (trace "X" (z)) (trace "X" (lev))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (b))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (z))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" 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postcompose :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (ND Judg Rule) > ND Judg Rule
postcompose unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev a b c x =
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+postcompose_ :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskLevel > ND Judg Rule
+postcompose_ unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec a x y z lev =
+ (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) 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(prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (y))))))))) (trace "X" (lev)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace 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+
+postcompose :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskLevel > (ND Judg Rule) > ND Judg Rule
+postcompose unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec x y z lev x0 =
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+first_nd unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev a b c __U03a3_ =
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firstify :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (ND Judg Rule) > ND Judg Rule
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secondify :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (ND Judg Rule) > ND Judg Rule
secondify unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev a b c __U03a3_ x =
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ga_unkappa' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
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ga_kappa' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_kappa' unitTy prodTy gaTy =
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+ga_unkappa :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
+ga_unkappa unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec l a b __U03a3_ x =
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flatten_arrangement' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskTyVar > HaskLevel > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Arrange LeveledHaskType) > ND Judg Rule
flatten_arrangement' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev ant1 ant2 r =
@@ 4986,7 +5349,7 @@ flatten_arrangement' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ec lev ant1 ant2
Prelude.False > (trace "X" (Tf_leaf_false (trace "X" (x))))}));
T_Branch b1 b2 > (trace "X" (Tf_branch (trace "X" (b1)) (trace "X" (b2)) (trace "X" ((trace "X" ((mkFlags0 (trace "X" (f)) (trace "X" (b1))))))) (trace "X" ((trace "X" ((mkFlags0 (trace "X" (f)) (trace "X" (b2)))))))))}))}
in mkFlags0 (trace "X" ((trace "X" ((liftBoolFunc (trace "X" (Prelude.True)) (trace "X" ((\x > (trace "X" ((trace "X" (bnot (trace "X" ((trace "X" ((levelMatch (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (x))))))))))))))))))) (trace "X" (c)))))))))))))))))))))))))))));
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(b)))))))))))} in (trace "X" (let {c' = (trace "X" ((trace "X" (mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (c)))))))))))} in (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) 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(trace "X" (a')) (trace "X" (b'))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([])))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([]))))))))))))))))))))) (trace "X" ((RLet (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (b'))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([])))))))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([]))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([]))))))))))))))))))))) (trace "X" ((RArrange (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (a')) (trace "X" (c'))))))))) (trace "X" (([])))))))))))) (trace "X" ((RCanL (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))))))))))))))))))))}))
flatten_arrangement :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskLevel > HaskTyVar > HaskLevel > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Arrange LeveledHaskType) > (Tree (Prelude.Maybe LeveledHaskType)) > ND Judg Rule
flatten_arrangement unitTy prodTy gaTy gar __U0393_0 __U0394_0 n ec lev ant1 ant2 r succ =
@@ 5507,7 +5870,7 @@ flatten_arrangement unitTy prodTy gaTy gar __U0393_0 __U0394_0 n ec lev ant1 ant
Prelude.False > (trace "X" (Tf_leaf_false (trace "X" (x))))}));
T_Branch b1 b2 > (trace "X" (Tf_branch (trace "X" (b1)) (trace "X" (b2)) (trace "X" ((trace "X" ((mkFlags0 (trace "X" (f)) (trace "X" (b1))))))) (trace "X" ((trace "X" ((mkFlags0 (trace "X" (f)) (trace "X" (b2)))))))))}))}
in mkFlags0 (trace "X" ((trace "X" ((liftBoolFunc (trace "X" (Prelude.False)) (trace "X" ((trace "X" ((levelMatch (trace "X" (__U0393_0)) (trace "X" (n)))))))))))) (trace "X" (c))))))))))))))))) (trace "X" ((trace "X" ((flatten (trace "X" (a)) (trace "X" (b)) (trace "X" (r1))))))) (trace "X" ((trace "X" ((flatten (trace "X" (b)) (trace "X" (c)) (trace "X" (r2)))))))))}))}
 in flatten (trace "X" (ant1)) (trace "X" (ant2)) (trace "X" (r))))))))))))) (trace "X" ((trace "X" ((boost (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (ant2)))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ)))))))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((postcompose (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ))))))) (trace "X" ((trace "X" ((flatten_arrangement' (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ec)) (trace "X" (lev)) (trace "X" (ant1)) (trace "X" (ant2)) (trace "X" (r)))))))))))))))))))
+ in flatten (trace "X" (ant1)) (trace "X" (ant2)) (trace "X" (r))))))))))))) (trace "X" ((trace "X" ((boost (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (ant2)))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ)))))))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((postcompose (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant2)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (ant1)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" (succ))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((flatten_arrangement' (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (ec)) (trace "X" (lev)) (trace "X" (ant1)) (trace "X" (ant2)) (trace "X" (r)))))))))))))))))))
flatten_arrangement'' :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Arrange LeveledHaskType) > ND Judg Rule
flatten_arrangement'' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ant1 ant2 succ r =
@@ 5518,13 +5881,103 @@ flatten_arrangement'' unitTy prodTy gaTy gar __U0393_0 __U0394_0 ant1 ant2 succ
ga_join :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskType > (ND Judg Rule) > (ND Judg Rule) > ND Judg Rule
ga_join unitTy prodTy gaTy gar __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ a b ec pfa pfb =
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